this might be his family:

CA Voter registration 1954
Kimbrough Henry C 607 N McCadden Los Angeles Co registered D
Kimbrough Mrs Elma Bernice same address registered R


1930 CA Los Angeles Los Angeles
Kimbrough Henry C head 36 married at 28 KY KY KY broker stock
Kimbrough Berenice wife 28 married at 20 KY KY KY
Kimbrough Henry C Jr son 3 CA KY KY
Mesall Ann maid 31 div OH MD OH


WWI Draft registration
Henry Clay Kimbrough
city Lexington
county Fayette
state KY
birthplace KY
b. 1 Sep 1893
race caucasian

KY Death index
Henry C Kimbrough
d. 13 Apr 1914 Fayette Co 54 yrs old Vol20 #9857

1910 KY Fayette Lexington
Kimbrough HC 50 married once KY KY KY hotel clerk
Kimbrough Nanie wife 43 married once 4 born 4 living KY TN TN proprietor boarding house
Kimbrough Otho son 23 KY KY KY
Kimbrough Nelson son 21 KY KY KY
KImbrough Henry Jr son KY KY KY
Kimbrough Marion? son 14 KY KY KY
Bell Mary K motherinlaw 70 wid KY KY KY
plus 12 roomers

I hope this might be helpful. This is not my family.